Lab 13 Video Analysis of Elastic and Inelastic Collisions
Elastic Collision 1
Momentum
(m1*v1initial) + (m2*v2initial) = (m1*v1final) + (m2*v2final)
(.515)*(.6679) + (.515)*(0) = (.515)*(.03735) + (.515) * (.5649)
.343 kg*m/s should equal .310 kg*m/s
Momentum should be conserved, but that is not the case, perhaps incorrect masses were reported.
.310/.343= .904 Only 90.4% of the momentum was conserved.
Kinetic Energy
(1/2) m1 (v1initial)^2 + (1/2) m2 (v2initial)^2 = (1/2) m1 (v1final)^2 + (1/2) m2 (v2final)^2
(1/2) ( .515) (.6679)^2 + (1/2) (515) (0)^2 = (1/2) (.515) (.03735)^2 + (1/2) (.515) (.5649)^2
.115 J should equal .0825 J
Kinetic energy should be conserved in an elastic collision.
.0825/.115=.718 Unfortunately, only 71.8% of the kinetic energy was conserved, so it is only 71.8% elastic.
It is 28.2% inelastic.
Inelastic Collision 1
Momentum
(m1*v1initial) + (m2*v2initial) = (m1*v1final) + (m2*v2final)
(0.515)*(.5391) + (0.515)*(0) = (0.515)*(.2541) + (0.515)*(.2572)
.278 kg*m/s should equal .263 kg*m/s
.263/.278=.947 Only 94.7% of the momentum was conserved.
Kinetic Energy
(1/2) m1 (v1initial)^2 + (1/2) m2 (v2initial)^2 = (1/2) m1 (v1final)^2 + (1/2) m2 (v2final)^2
(1/2) (0.515) (.5391)^2 + (1/2) (0.515) (0)^2 = (1/2) (0.515) (.2541)^2 +(1/2) (0.515) (.2572)^2
.075 J does not equal .034 J
.034/.075= .453, 45.3% of the energy was conserved.
It is 45.3% elastic
It is 54.7% inelastic.
Elastic Collision 2
Momentum
(m1*v1initial) + (m2*v2initial) = (m1*v1final) + (m2*v2final)
(1.015)*(.6548) + (0.551*0) = (1.015*.3185) + (0.551)*(.5667)
.665 kg*m/s should equal .636 kg*m/s, since momentum is always conserved.
Kinetic Energy
(1/2) m1 (v1initial)^2 + (1/2) m2 (v2initial)^2 = (1/2) m1 (v1final)^2 + (1/2) m2 (v2final)^2
(1/2) (1.015) (.6548)^2 + (1/2) (0.551) (0)^2 = (1/2) (1.015) (.3185)^2 + (1/2) (0.551) (.5667)^2
.218 J should equal .140 J since it is an elastic collision.
.140/218= .642 Only 64.2% of the kinetic energy was conserved. The collision was only 64.2% elastic and 35.8% inelastic.
Inelastic Collision 2
Momentum
(m1*v1initial) + (m2*v2initial) = (m1*v1final) + (m2*v2final)
(1.015*.5243) + (0.515 * (5.681 x 10^-18) = (1.015*.3343) + (0.515*.3337)
.532 kg*m/s should equal .511 kg*m/s, since momentum is always conserved.
.
Kinetic Energy
(1/2) m1 (v1initial)^2 + (1/2) m2 (v2initial)^2 = (1/2) m1 (v1final)^2 + (1/2) m2 (v2final)^2
(1/2)(1.015)(.5243^2) + (1/2)(0.515)(5.681x10^-18)^2 = (1/2)(1.015)(.3343^2) + (1/2)(0.515)(.3337^2)
.1395 J does not equal .085J
.085/.1395= .612 61.2% of the kinetic energy was conserved
The collision is 61.2% elastic
The collision is 38.8% inelastic.
Elastic Collision 1
(m1*v1initial) + (m2*v2initial) = (m1*v1final) + (m2*v2final)
(.515)*(.6679) + (.515)*(0) = (.515)*(.03735) + (.515) * (.5649)
.343 kg*m/s should equal .310 kg*m/s
Momentum should be conserved, but that is not the case, perhaps incorrect masses were reported.
.310/.343= .904 Only 90.4% of the momentum was conserved.
Kinetic Energy
(1/2) m1 (v1initial)^2 + (1/2) m2 (v2initial)^2 = (1/2) m1 (v1final)^2 + (1/2) m2 (v2final)^2
(1/2) ( .515) (.6679)^2 + (1/2) (515) (0)^2 = (1/2) (.515) (.03735)^2 + (1/2) (.515) (.5649)^2
.115 J should equal .0825 J
Kinetic energy should be conserved in an elastic collision.
.0825/.115=.718 Unfortunately, only 71.8% of the kinetic energy was conserved, so it is only 71.8% elastic.
It is 28.2% inelastic.
Inelastic Collision 1
Momentum
(m1*v1initial) + (m2*v2initial) = (m1*v1final) + (m2*v2final)
(0.515)*(.5391) + (0.515)*(0) = (0.515)*(.2541) + (0.515)*(.2572)
.278 kg*m/s should equal .263 kg*m/s
.263/.278=.947 Only 94.7% of the momentum was conserved.
Kinetic Energy
(1/2) m1 (v1initial)^2 + (1/2) m2 (v2initial)^2 = (1/2) m1 (v1final)^2 + (1/2) m2 (v2final)^2
(1/2) (0.515) (.5391)^2 + (1/2) (0.515) (0)^2 = (1/2) (0.515) (.2541)^2 +(1/2) (0.515) (.2572)^2
.075 J does not equal .034 J
.034/.075= .453, 45.3% of the energy was conserved.
It is 45.3% elastic
It is 54.7% inelastic.
Elastic Collision 2
Momentum
(m1*v1initial) + (m2*v2initial) = (m1*v1final) + (m2*v2final)
(1.015)*(.6548) + (0.551*0) = (1.015*.3185) + (0.551)*(.5667)
.665 kg*m/s should equal .636 kg*m/s, since momentum is always conserved.
Kinetic Energy
(1/2) m1 (v1initial)^2 + (1/2) m2 (v2initial)^2 = (1/2) m1 (v1final)^2 + (1/2) m2 (v2final)^2
(1/2) (1.015) (.6548)^2 + (1/2) (0.551) (0)^2 = (1/2) (1.015) (.3185)^2 + (1/2) (0.551) (.5667)^2
.218 J should equal .140 J since it is an elastic collision.
.140/218= .642 Only 64.2% of the kinetic energy was conserved. The collision was only 64.2% elastic and 35.8% inelastic.
Inelastic Collision 2
Momentum
(m1*v1initial) + (m2*v2initial) = (m1*v1final) + (m2*v2final)
(1.015*.5243) + (0.515 * (5.681 x 10^-18) = (1.015*.3343) + (0.515*.3337)
.532 kg*m/s should equal .511 kg*m/s, since momentum is always conserved.
.
Kinetic Energy
(1/2) m1 (v1initial)^2 + (1/2) m2 (v2initial)^2 = (1/2) m1 (v1final)^2 + (1/2) m2 (v2final)^2
(1/2)(1.015)(.5243^2) + (1/2)(0.515)(5.681x10^-18)^2 = (1/2)(1.015)(.3343^2) + (1/2)(0.515)(.3337^2)
.1395 J does not equal .085J
.085/.1395= .612 61.2% of the kinetic energy was conserved
The collision is 61.2% elastic
The collision is 38.8% inelastic.